A position is legal if and only if no strings of stones that have no liberties exist.
Is this true for New Zealand rules? I am not sure how you represent the state at time of the move.
PS: Can't say I like the invention of the word iff. :) Never saw it before, but it strikes me as the type of Orwellian nomenclature we were warned against.
Accoring to New Zealand rules:
So captures are part of the move, and there are no "intermediate" positions during the move.
AFAIK, the same is true for most rule sets. You move from position to position, with captures/suicide included in the move.